Algebra 2 Glencoe CCSS Edition page 10 problem 55

Question

The legs of a right triangle measure 6 centimeters and 8 centimeters. Find the length of the hypotenuse.

Answer 1

Step:1

Pythagorean theorem states that,  If a triangle is a right triangle, then the sum of the squares of the lengths of the legs a and b equals the square of the length of the hypotenuse c.

Draw the triangle:

Pythagorean theorem : .

                  (Substitute )

                 (Evaluate powers: )

                      (Add: )

                    (Take square root each side.)

                         (Square root: )

Solution:

The length of hypotenuse is 10 cm.